Genesis

Bereshit — the First Book of Torah

Entangled Sisters

The story of entangled twins is continuing in the Torah portion Vayeitzei (Genesis 28:10–32:3.)  Structurally, it is very similar to the story in the previous Torah portion, Toldot (see “Entangled Twins”).  In this portion, we again read about two entangled siblings—albeit, this time, sisters—about deception and spontaneous symmetry breaking. Two sisters were Rachel and Leah. Moreover, according to Midrash, Rachel and Leah were also twins (Seder Olam Rabbah).[1] As inseparable twins, they were “entangled,” as it were. They were somewhat opposite—one introvert, the other extrovert; one beautiful, the other, perhaps not so much (she had “weak eyes”): Now Laban had two daughters: the name of the elder was Leah, and the name of the younger was Rachel. And Leah’s eyes were weak; but Rachel was of beautiful form and fair to look upon (Genesis 29:17). Rachel and [...]

The Entangled Twins

Entanglement is often called the most baffling and the most quintessential aspect of quantum mechanics. What is entanglement, in a nutshell? Two particles born out of one reaction (or two particles that interacted through a collision) remain connected, no matter how distant from each other. A change in the status of one particle instantaneously causes a change in the status of the other particle. Einstein called it "spooky action at a distance." Entanglement is often associated with a certain symmetry and corresponding conservation laws. For example, the law of conservation of angular momentum requires that the spin (the quantum-mechanical analog of the angular momentum) of two entangled particles always point in the opposite directions. This means that, if two entangled particles have their spin in a state of superposition of Up (↑) and Down (↓), and we collapse [...]

Maarat HaMachpelah – Double Cave

Give me the Machpelah (double) Cave Genesis 23:9 The first legal acquisition of land in Israel takes place in this Torah portion, Chayei Sarah, when Abraham purchases a double cave, Maarat HaMachpelah, in the city of Chevron (Hebron) as an ancestral burial plot. Today, the immense rectangular structure built over the cave more than 2000 years ago during Herodian era is the oldest house of worship in the world in continuous use. Biblical commentator Rashi explains that the cave was called Machpelah (lit., double) because it had two structures—an upper chamber and a lower chamber. (Another explanation given in the Talmud relates the name of this cave to thee couples buried there—Abraham and Sarah, Isaac and Rebecca, and Jacob and Leah. According to Kabbalah, Adam and Eve are buried there as well (Zohar, Ruth 96). Cave of the Patriarchs [...]

Jacob’s Ladder

And he dreamed, and behold! a ladder set up on the ground and its top reached to heaven; and behold, angels of G‑d were ascending and descending upon it. Gen. 28:12   Last night I dreamed of an atom with a ladder wedged in the nucleus of the atom, with electrons jumping up and down the ladder. For those readers unencumbered by the knowledge of atomic theory, a brief historical introduction may be in order. When the planetary theory of the atom was fir Ernest Rutherford st proposed by Ernest Rutherford in 1909, it depicted an atom as a solar system wherein a nucleus was positioned at the center of the atom, with electrons orbiting around the nucleus as planets orbit the Sun. However, there was a problem. According to Maxwell’s [...]

Two Beginnings

B’reshit bara Elokim et hashamaim v’et haaretz… In the beginning, G‑d created heaven and earth… Alternative translation: With two beginnings G‑d created heaven and earth… Genesis 1:1   *This is an abridged and updated version of my paper “Towards Reconciliation of Biblical and Cosmological Ages of the Universe” Presented at the Third Miami International Conference on Torah & Science in Dec. of 1999 and published in B’Or HaTorah, 13 (2002) p. 19. Contemporary science places the age of the universe in the thirteen to fourteen billion years range, or 13.787 ± 0.02, [1] to be precise.  This age is derived from both theoretical models as well as experimental data.  (For an overview of theoretical and experimental approaches to dating the universe and our planet Earth see my original paper TOWARDS RECONCILIATION OF BIBLICAL AND [...]

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